Question
A rectangular lawn 25m x 30m has two roads each 6 metres
wide, running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of watering the lawn at the rate of Rs. 35 per square metre?Solution
Area of the first path = 25 x 6 = 150 m², Area of the second path = 30 x 6 = 180 m² and Area of centre = 6 x 6 = 36 m² Total area of both paths = 150 + 180 – 36 = 294 m² Area of the lawn with path = 25 x 30 = 750 m² Area of the lawn without path 750 - 294 = 456 m² ∴ Cost of watering = 456 x 35 = Rs. 15,960
I. 15y2 + 4y – 4 = 0
II. 15x2 + x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 15b2 + 26b + 8 = 0
II. 20a2 + 7a - 6 = 0
I. x2 – 12x + 32 = 0
II. y2 + y - 20 = 0
I. 6y2 - 17y + 12 = 0
II. 15x2 - 38x + 24 = 0
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
I. 9/(4 )p + 7/8p = 21/12
II. 7/5p = 9/10q + 1/4
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x² + 6x - 9 = 0
Equation 2: 2y² - 16y + 32 = 0
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